Displaying similar documents to “On reverses of some binary operators”

Discussion of the structure of uninorms

Paweł Drygaś (2005)

Kybernetika

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The paper deals with binary operations in the unit interval. We investigate connections between families of triangular norms, triangular conorms, uninorms and some decreasing functions. It is well known, that every uninorm is build by using some triangular norm and some triangular conorm. If we assume, that uninorm fulfils additional assumptions, then this triangular norm and this triangular conorm have to be ordinal sums. The intervals in ordinal sum are depending on the set of values...

An n-ary λ-averaging based similarity classifier

Onesfole Kurama, Pasi Luukka, Mikael Collan (2016)

International Journal of Applied Mathematics and Computer Science

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We introduce a new n-ary λ similarity classifier that is based on a new n-ary λ-averaging operator in the aggregation of similarities. This work is a natural extension of earlier research on similarity based classification in which aggregation is commonly performed by using the OWA-operator. So far λ-averaging has been used only in binary aggregation. Here the λ-averaging operator is extended to the n-ary aggregation case by using t-norms and t-conorms. We examine four different n-ary...